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scoundrel [369]
3 years ago
6

Which of these ordered pairs is a solution to the linear inequality y – 4x ≤ –6? A.(–2, 4) B.(1, –2) C. (1, 3) D. (2, 3)

Mathematics
2 answers:
Romashka [77]3 years ago
5 0
y - 4x \leq -6 \\ y  \leq  -6 + 4x \\
<span>After placing<span>:</span></span>
B. (-2)-4(1) \leq -6 \\ -6 \leq -6
Nimfa-mama [501]3 years ago
4 0
B.(1,-2) 
(-2)-4(1)=6
Therefore the ordered pair (1,-2) is the answer
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How do you find the amplitude of a sine or cosine wave
avanturin [10]
Let's start with the basic sine function<span>, f(t) = </span>sin<span>(t). This </span>function<span> has an amplitude of 1 because the graph goes one unit up and one unit down from the midline of the graph. This </span>function<span> has a </span>period<span> of 2π because the </span>sine<span> wave repeats every 2π units</span>
7 0
3 years ago
Iver a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
enot [183]

Answer:

f(x)=3.95sin(\frac{\pi}{12}x)+4.35

Step-by-step explanation:

<u>Recall:</u>

  • Sinusoidal Function -> f(x)=a*sin(bx+c)+d
  • Amplitude -> a
  • Period -> \frac{2\pi}{|b|}
  • Phase Shift -> -\frac{c}{b}
  • Vertical Shift/Midline -> d

<u>Given:</u>

  • Amplitude -> a=8.3-4.35=3.95
  • Period -> \frac{2\pi}{|b|}=\frac{2\pi}{|24|}=\frac{2\pi}{24}=\frac{\pi}{12}
  • Phase Shift -> -\frac{c}{b}=-\frac{0}{24}=0
  • Vertical Shift/Midline -> d=\frac{8.3+0.4}{2}=\frac{8.7}{2}=4.35

<u>Conclusion:</u>

The equation that models the situation is f(x)=3.95sin(\frac{\pi}{12}x)+4.35

Hope this helped! I've attached a graph of the function so you can understand it better!

7 0
3 years ago
3/5 x 1/6 i need help for this question.
Amiraneli [1.4K]

Answer:

1/10

Step-by-step explanation:

5*6=30

3*1=3

3/30=1/10

7 0
3 years ago
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Please help me the question is on the file ;-;
12345 [234]

Answer:

D) 3x + 15 ≥ 300

Step-by-step explanation:

The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.

Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:

(3) * (x + 5) = Area of rectangle.

Distribute the 3 to all terms:

3(x + 5) = 3x + 15 = Area of rectangle.

Put the two parts together:

3x + 15 ≥ 300.

~

7 0
3 years ago
Read 2 more answers
Solve for x 5x+34=-2(1-7x)
defon

Answer:

x=4

Step-by-step explanation:

5 0
3 years ago
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